Asymptotic stabilization using a constructive approach to constrained nonlinear model predictive control

Juan S. Mejía, Dušan M. Stipanović

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a new constructive model predictive control approach to asymptotic stabilization of constrained, discrete time-invariant nonlinear dynamic systems. The constructive approach not only considers the traditional optimality problem on a finite horizon, but also considers a feasibility constraint imposed at the end of each finite horizon (prediction horizon). The feasibility constraint is included in the optimization formulation as a set of inequality constraints. Sufficient conditions for establishing asymptotic stability of discrete nonlinear systems are derived from the simultaneous solutions of the optimality and the feasibility problems on the finite horizon. The proposed approach is appealing in the sense that no necessary conditions regarding stabilizability of the linearization of the nonlinear dynamic system around an equilibrium, or the identification of an a priory stabilizing control law in a neighborhood of the equilibrium are needed; known as common requirements in many nonlinear model predictive control formulations. Simulation examples for the proposed approach are presented.

Original languageEnglish (US)
Title of host publicationProceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Pages4061-4066
Number of pages6
DOIs
StatePublished - 2008
Event47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico
Duration: Dec 9 2008Dec 11 2008

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216

Other

Other47th IEEE Conference on Decision and Control, CDC 2008
CountryMexico
CityCancun
Period12/9/0812/11/08

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

Fingerprint Dive into the research topics of 'Asymptotic stabilization using a constructive approach to constrained nonlinear model predictive control'. Together they form a unique fingerprint.

Cite this